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The proliferation of space debris in LEO has become a major concern for the space industry. With the growing interest in space exploration, the prediction of potential collisions between objects in orbit has become a crucial issue. It is…

Earth and Planetary Astrophysics · Physics 2024-12-11 Ricardo Ferreira , Cláudia Soares , Marta Guimarães

The space environment around the Earth is becoming increasingly populated by both active spacecraft and space debris. To avoid potential collision events, significant improvements in Space Situational Awareness (SSA) activities and…

Robotics · Computer Science 2023-10-31 Nicolas Bourriez , Adrien Loizeau , Adam F. Abdin

This paper presents a computationally efficient optimization algorithm for solving nonconvex optimal control problems that involve discrete logic constraints. Traditional solution methods for these constraints require binary variables and…

Optimization and Control · Mathematics 2021-07-16 Danylo Malyuta , Behcet Acikmese

Ensuring safety for spacecraft operations has become a paramount concern due to the proliferation of space debris and the saturation of valuable orbital regimes. In this regard, the Collision Avoidance Manoeuvre (CAM) has emerged as a…

Optimization and Control · Mathematics 2025-03-31 Zeno Pavanello , Luigi De Maria , Andrea De Vittori , Michele Maestrini , Pierluigi Di Lizia , Roberto Armellin

This paper investigates the mission planning problem for spacecraft confronting orbital debris to achieve autonomous avoidance. Firstly, combined with the avoidance requirements, a closed-loop framework of autonomous avoidance for orbital…

Robotics · Computer Science 2024-09-20 Chen Xingwen , Wang Tong , Qiu Jianbin , Feng Jianbo

Optimal control problems with discrete-valued inputs are inherently challenging due to their mixed-integer nature, rendering them generally intractable for real-time, safety-critical aerospace applications. Lossless convexification offers a…

Optimization and Control · Mathematics 2026-05-22 Felipe Arenas-Uribe , Hasan A. Poonawala , Jesse B. Hoagg

This research addresses the increasing demand for advanced navigation systems capable of operating within confined surroundings. A significant challenge in this field is developing an efficient planning framework that can generalize across…

Robotics · Computer Science 2024-07-09 Jiayu Fan , Nikolce Murgovski , Jun Liang

Trajectory optimization of low-thrust perturbed orbit rendezvous is a crucial technology for space missions in low Earth orbits, which is difficult to solve due to its initial value sensitivity, especially when the transfer trajectory has…

Instrumentation and Methods for Astrophysics · Physics 2023-05-03 An-yi Huang , Heng-nian Li

Quadratically constrained quadratic programs (QCQPs) are ubiquitous in optimization: Such problems arise in applications from operations research, power systems, signal processing, chemical engineering, and portfolio theory, among others.…

Optimization and Control · Mathematics 2026-03-31 Muge Dedeoglu , Buket Ozen , Burak Kocuk

We present a continuous-time collision detection algorithm for quickly detecting whether certain polynomial trajectories in time intersect with convex obstacles. The algorithm is used in conjunction with an existing multicopter trajectory…

Robotics · Computer Science 2019-07-22 Nathan Bucki , Mark W. Mueller

Trajectory planning in dense, interactive traffic scenarios presents significant challenges for autonomous vehicles, primarily due to the uncertainty of human driver behavior and the non-convex nature of collision avoidance constraints.…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Erik Börve , Nikolce Murgovski , Leo Laine

This paper investigates the collaboration of multiple connected and automated vehicles (CAVs) in different scenarios. In general, the collaboration of CAVs can be formulated as a nonlinear and nonconvex model predictive control (MPC)…

Optimization and Control · Mathematics 2022-07-26 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Frank L. Lewis , Tong Heng Lee

A control optimization approach is presented for a chaser spacecraft tasked with maintaining proximity to a target space object while avoiding collisions. The target object trajectory is provided numerically to account for both passive…

Optimization and Control · Mathematics 2025-07-01 Saif R. Kazi , Harsha Nagarajan , Hassan Hijazi , Przemek Wozniak

Motion planning methods for autonomous systems based on nonlinear programming offer great flexibility in incorporating various dynamics, objectives, and constraints. One limitation of such tools is the difficulty of efficiently representing…

Systems and Control · Electrical Eng. & Systems 2022-03-31 James Guthrie , Marin Kobilarov , Enrique Mallada

Operating unmanned aerial vehicles (UAVs) in complex environments that feature dynamic obstacles and external disturbances poses significant challenges, primarily due to the inherent uncertainty in such scenarios. Additionally, inaccurate…

Robotics · Computer Science 2023-09-29 Tianyu Liu , Fu Zhang , Fei Gao , Jia Pan

As the number of uncontrollable objects in low earth orbit is rising, the thread of collisions and thus the breakdown of working satellites becomes worth analyzing. Consequently, projects on removing objects from the important orbits are…

Optimization and Control · Mathematics 2013-07-05 Johannes Michael , Kurt Chudej , Matthias Gerdts , Jürgen Pannek

Path planning and collision avoidance are challenging in complex and highly variable environments due to the limited horizon of events. In literature, there are multiple model- and learning-based approaches that require significant…

Robotics · Computer Science 2022-06-22 Carlo Tiseo , Vladimir Ivan , Wolfgang Merkt , Ioannis Havoutis , Michael Mistry , Sethu Vijayakumar

After decades of space travel, low Earth orbit is a junkyard of discarded rocket bodies, dead satellites, and millions of pieces of debris from collisions and explosions. Objects in high enough altitudes do not re-enter and burn up in the…

In this paper, we consider the problem of minimum-time optimal control for a dynamical system with initial state uncertainties and propose a sequential convex programming (SCP) solution framework. We seek to minimize the expected terminal…

Optimization and Control · Mathematics 2024-09-17 Kazuya Echigo , Abhishek Cauligi , Behçet Açıkmeşe

The exponential increase in orbital debris and active satellites will lead to congested orbits, necessitating more frequent collision avoidance maneuvers by satellites. To minimize fuel consumption while ensuring the safety of satellites,…

Systems and Control · Electrical Eng. & Systems 2024-12-24 Kanghyun Ryu , Jean-Baptiste Bouvier , Shazaib Lalani , Siegfried Eggl , Negar Mehr